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Finding the Third Proportional to 121,077.50 and 263,953.38

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Solution

The third proportional to 121,077.50 and 263,953.38 is: 575,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,077.50 : 263,953.38 = 263,953.38 : x
  2. Step 2: Convert to fraction form
    121,077.50/263,953.38 = 263,953.38/x
  3. Step 3: Cross multiply
    121,077.50x = 263,953.38 × 263,953.38
  4. Step 4: Simplify right side
    121,077.50x = 69,671,384,173.89
  5. Step 5: Solve for x
    x = 69,671,384,173.89/121,077.50
  6. Step 6: Final answer
    x = 575,428.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.